# A survey of 570 working adults in the United States asked each participant how many hours…

A survey of 570 working adults in the United States asked each participant how many hours they worked last week. The survey showed an average of 41.525 hours worked per week, with a standard deviation of 14.828 hours. (Note that this is the average for people that work in the United States, including part-time employees. Among full time employees, the average work week is closer to 47 hours. Link if you’re interested: http://www.gallup.com/poll/175286/hour-workweek-actually-longer-seven-hours.aspx) Is there enough evidence to show that Americans work more than 40 hours per week on average at the 0.01 significance level? What is the population under study? Select one: a. All working adults in the U.S. that work more than 40 hours per week b. The 570 working adults in the survey c. All working adults in the U.S. d. The 570 working adults in the survey that work over 40 hours per week. In words, what is the parameter we are testing? Select one: O a. The proportion of the 570 workers in the survey that worked more than 40 hours per week. © b. The mean number of hours worked last week by all working adults in the U.S. O c. The proportion of workers in the U.S. that worked more than 40 hours per week. d. The mean number of hours worked last week by the 570 working adults in the survey Should we perform a Z test or at test, and why? Select one: a. At test, because we don’t know the population standard deviation b. A z test, because we don’t know the population standard deviation c. A z test, because we know the population standard deviation. d. At test, because we know the population standard deviation. Does this sample satisfy the requirements to perform a hypothesis test for a mean? Select one: a. Yes, the sample size is at least 30. O b. Yes, the number of hours worked last week is normally distributed. O c. No, the sample size is at least 30. O d. No, the number of hours worked last week is not normally distributed. State the null and alternative hypotheses in proper mathematical notation. Select one: a. Ho : u = 40 Hu < 40 O b. Ho : u = 40 H:He > 40 C. Ho: u = 41.525 Hau > 41.525 ed. Ho: u = 41.525 H.: < 41.525